Saturday, February 9th, 2013
Question: At what time between 2 and 3 the angle between the hands of clock is 60 degrees?
Answer:
At 2 o’clock the angle is 60 degree.
After t minutes past 2:
Minute hand from the vertical = 6t
Hour hand from the vertical = 60 + 0.5t
Required angle is : 6t – (60 + 0.5t) = 60
ie. 5.5t = 120
Therefore , t = 240/11 = 21 9/11 minutes,
At 2:21:9/11th min the angle between the hands of a clock would be 60 degrees.
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